Answer:
y - 1 = - (x - 2)
Step-by-step explanation:
The equation of a line in point- slope form is
y - b = m(x - a)
where m is the slope and (a, b) a point on the line
Calculate m using the slope formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (2, 1) and (x₂, y₂ ) = (- 2, 5)
m = [tex]\frac{5-1}{-2-2}[/tex] = [tex]\frac{4}{-4}[/tex] = - 1
Using (a, b) = (2, 1), then
y - 1 = - 1(x - 2), that is
y - 1 = - (x - 2)